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Finding the Fourth Proportional to 72,789.94, 109,184.91 and 20,199.48

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Solution

The fourth proportional to 72,789.94, 109,184.91 and 20,199.48 is: 30,299.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,789.94 : 109,184.91 = 20,199.48 : x
  2. Step 2: Convert to fraction form
    72,789.94/109,184.91 = 20,199.48/x
  3. Step 3: Cross multiply
    72,789.94x = 109,184.91 × 20,199.48
  4. Step 4: Simplify right side
    72,789.94x = 2,205,478,405.85
  5. Step 5: Solve for x
    x = 2,205,478,405.85/72,789.94
  6. Step 6: Final answer
    x = 30,299.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.